(4c-6)(2c+5)=

Solution for (4c-6)(2c+5)= equation:

Simplifying
(4c + -6)(2c + 5) = 0

Reorder the terms:
(-6 + 4c)(2c + 5) = 0

Reorder the terms:
(-6 + 4c)(5 + 2c) = 0

Multiply (-6 + 4c) * (5 + 2c)
(-6(5 + 2c) + 4c * (5 + 2c)) = 0
((5 * -6 + 2c * -6) + 4c * (5 + 2c)) = 0
((-30 + -12c) + 4c * (5 + 2c)) = 0
(-30 + -12c + (5 * 4c + 2c * 4c)) = 0
(-30 + -12c + (20c + 8c2)) = 0

Combine like terms: -12c + 20c = 8c
(-30 + 8c + 8c2) = 0

Solving
-30 + 8c + 8c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 4c + 4c2) = 0

Factor a trinomial.
2((-5 + -2c)(3 + -2c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -2c)' equal to zero and attempt to solve:

Simplifying
-5 + -2c = 0

Solving
-5 + -2c = 0

Move all terms containing c to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -2c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2c = 0 + 5
-2c = 0 + 5

Combine like terms: 0 + 5 = 5
-2c = 5

Divide each side by '-2'.
c = -2.5

Simplifying
c = -2.5
Subproblem 2
Set the factor '(3 + -2c)' equal to zero and attempt to solve:

Simplifying
3 + -2c = 0

Solving
3 + -2c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2c = 0 + -3
-2c = 0 + -3

Combine like terms: 0 + -3 = -3
-2c = -3

Divide each side by '-2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {-2.5, 1.5}